Abstract
Two meromorphic functions are said to share a set ignoring multiplicities (IM) if S has the same preimage under both functions. If any two nonconstant meromorphic functions sharing a set IM must be identical, it is called a unique range set for meromorphic functions ignoring multiplicities (URSM-IM). In this paper, we show that there exists a URSM-IM with 17 elements.
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